### Monday, July 14

10:30 AM-12:30 PM

*Kresge Auditorium*

## MS1

Non-Normal Matrix Eigenvalue Problems (Part I of II)

Non-normal matrix eigenvalue problems arise in a variety of physical and engineering applications, most prominently in stability analyses: of electrical networks; of flutter phenomena in aeronautics; of ordinary differential equations; of numerical methods for the solution of partial differential equations; and of Markov chains. Non-normal eigenvalue problems are more difficult to solve than normal (e.g. symmetric, Hermitian) problems because eigenvalues and invariant subspaces can be highly sensitive to changes in the matrix. Part I of the minisymposium deals with perturbation theory, in particular with reliable indicators for measuring the sensitivity of eigen information. Part II examines how non-normality affects the
behavior of numerical methods for solving eigenvalue problems.

**Organizer: Ilse C. F. Ipsen**

*North Carolina State University *

**10:30 Spectral Condition Numbers for Non-Normal Matrices **
- James V. Burke, University of Washington; Julio Moro, Universidad Carlos III, Spain; and
*Michael L. Overton*, Courant Institute of Mathematical Sciences, New York University
**11:00 Sensitivity of Eigenvalues **
- Ilse C. F. Ipsen, Organizer
**11:30 Non-Normality and Card Shuffling -- the "Cutoff Phenomenon" in Markov Chains**
- Lloyd N. Trefethen, Cornell University
**12:00 Title and speaker to be announced**

AN97 Homepage | Program Updates|

Registration | Hotel and Dormitory Information | Transportation | Program-at-a-Glance | Program Overview

*MMD, 3/27/97*
*tjf, 5/27/97*